Open Access
April, 1980 A New Look at Convergence of Branching Processes
D. R. Grey
Ann. Probab. 8(2): 377-380 (April, 1980). DOI: 10.1214/aop/1176994785


The classical almost sure convergence of the normed supercritical Galton-Watson branching process with finite mean is obtained by a new method which does not involve probability generating functions.


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D. R. Grey. "A New Look at Convergence of Branching Processes." Ann. Probab. 8 (2) 377 - 380, April, 1980.


Published: April, 1980
First available in Project Euclid: 19 April 2007

zbMATH: 0428.60088
MathSciNet: MR566602
Digital Object Identifier: 10.1214/aop/1176994785

Primary: 60J80

Keywords: Galton-Watson branching process , martingale , supercritical almost sure convergence , Weak law of large numbers

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 2 • April, 1980
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